The graph depicts a linear equation
The equation of the graph is: [tex]\mathbf{y = 2x }[/tex]
From the graph, we have the following points:
[tex]\mathbf{(x_1,y_1) = (0,0)}[/tex]
[tex]\mathbf{(x_2,y_2) = (2,1)}[/tex]
So, the slope (m) is:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
This gives
[tex]\mathbf{m = \frac{2-0}{1 -0}}[/tex]
[tex]\mathbf{m = \frac{2}{1}}[/tex]
[tex]\mathbf{m = 2}[/tex]
The equation is then calculated as:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
This gives
[tex]\mathbf{y = 2(x - 0) + 0}[/tex]
[tex]\mathbf{y = 2(x - 0)}[/tex]
[tex]\mathbf{y = 2x }[/tex]
Hence, the equation of the graph is: [tex]\mathbf{y = 2x }[/tex]
Read more about graphs and equations at:
https://brainly.com/question/18588430
